Agrid shows the positions of a subway stop and your house. the subway stop is located at (–9, 7) and your house is located at (9, –2). what is the distance, to the nearest unit, between your house and the subway stop? a.25 b. 20 c. 30 d. 17

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Agrid shows the positions of a subway stop and your house. the subway stop is located at (–9, 7) and your house is located at (9, –2). what is the distance, to the nearest unit, between your house and the subway stop? a.25 b. 20 c. 30 d. 17

For this case, the first thing you should do is use the distance between points formula.

We have then:

d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)

Substituting we have:

d = root ((9 - (- 9)) ^ 2 + (-2-7) ^ 2)

d = 20.1246118

Rounding off we have:

d = 20 units

The distance, to the nearest unit, between your house and the subway stop is:

B. 20

D. 20

Explanation:

To answer this question, we will use the distance formula which is as follows:

distance = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

We are given:

point (-9,7) representing (x1,y1)

point (9,-2) representing (x2,y2)

Substitute with the givens in the above formula to get the distance as follows:

distance = [tex]\sqrt{(9--9)^2 + (-2-7)^2}[/tex] = 9√5 which is approximately 20 units

Hope this helps 🙂